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Simplifying x = (x + 5)(x * 4) Reorder the terms: x = (5 + x)(x * 4) Reorder the terms for easier multiplication: x = (5 + x)(4x) Remove parenthesis around (4x) x = (5 + x) * 4x Reorder the terms for easier multiplication: x = 4x(5 + x) x = (5 * 4x + x * 4x) x = (20x + 4x2) Solving x = 20x + 4x2 Solving for variable 'x'. Combine like terms: x + -20x = -19x -19x + -4x2 = 20x + 4x2 + -20x + -4x2 Reorder the terms: -19x + -4x2 = 20x + -20x + 4x2 + -4x2 Combine like terms: 20x + -20x = 0 -19x + -4x2 = 0 + 4x2 + -4x2 -19x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -19x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(19 + 4x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(19 + 4x)' equal to zero and attempt to solve: Simplifying 19 + 4x = 0 Solving 19 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 4x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 0 + -19 4x = 0 + -19 Combine like terms: 0 + -19 = -19 4x = -19 Divide each side by '4'. x = -4.75 Simplifying x = -4.75Solution
x = {0, -4.75}
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